Micromechanics of Materials

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Description:

Introduction and review of mathematical principles and continuum mechanics. Homogenization methods for heterogeneous materials- averaging and mean-field theories, Eshelby and Mori-Tanaka approaches, self-consistent methods, cell methods, effective and apparent properties for inelastic solids, computational homogenization for highly nonlinear solids. Plasticity and microplasticity in metals - macroscale plasticity, crystal plasticity, scale size effects: strain gradient plasticity, discrete dislocation plasticity. Micromechanics of polymers and composites. Micromechanics of cellular, granular and porous materials. Multi-phase microstructures- discrete & lattice models: fundamentals, elasticity and fracture, martensitic phase transformations, microstructure evolution. Mechanics of nanostructures e.g., carbon nanotubes, graphene, polymer nanocomposites, DNA, nanoscale metallic multilayers. Practical application of micromechanics- micromechanics of manufacturing process, micromechanics of electronics systems. Discrete Dislocation Dynamics, Molecular Dynamics, Monte Carlo methods

Textbooks/References:

[1] S. Nemat-Nasser, M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials,

North Holland; 2nd edition, 1999

[2] T. Mura, Micromechanics of Defects in Solids, Springer, 1991.

[3] S. Li and G. Wang, Introduction to Micromechanics and Nanomechanics, World Scientific, 2008.

[4] R. Phillips, Crystals, defects and microstructures: modeling across scales, Cambridge University Press, 2001.

[5] E.B. Tadmor and R.E. Miller, Modeling materials: continuum, atomistic and multiscale techniques, Cambridge University Press, 2013.

[6] T.W. Clyne and P.J. Withers, An Introduction of Metal Matrix Composites, Cambridge Solid State Science Series, 1995.

[7] L.J. Gibson and M.F. Ashby, Cellular Solid: Structure and Properties, Cambridge University Press, 2nd edition, 1997.

[8] M. Šejnoha and J. Zeman, Micromechanics in Practice, WIT Press, 2013.